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In this paper, we continue the study of the subalgebra lattice of a Leibniz algebra. In particular, we find out that solvable Leibniz algebras with an upper semi-modular lattice are either almost-abelian or have an abelian ideal spanned by the elements with square zero. We also study Leibniz algebras in which every subalgebra is a weak quasi-ideal, as well as modular symmetric Leibniz algebras. [ABSTRACT FROM AUTHOR]

We give a classification of 5- and 6-dimensional complex one-generated nilpotent bicommutative algebras. [ABSTRACT FROM AUTHOR]

In this paper, we introduce the notions of non-abelian tensor and exterior products of two ideal graded crossed submodules of a given crossed module of Lie superalgebras. We also study some of their basic properties and their connection with the second homology of crossed modules of Lie superalgebras. [ABSTRACT FROM AUTHOR]

Let L be a restricted Lie algebra over a field of characteristic p>0. We investigate the structure of L when its lattice S (L) of restricted subalgebras satisfies some prescribed properties. In particular, we establish when S (L) is distributive. The special form that this result takes when F is either the field with p elements or an algebraically closed field is also discussed. Furthermore, we establish when S (L) is Boolean or the two-elements lattice. [ABSTRACT FROM AUTHOR]